1.
Let the system of linear equations
x+2y+z=2αx+3yz=ααx+y+2z=α\begin{aligned} x + 2y + z &= 2 \\ \alpha x + 3y - z &= \alpha \\ -\alpha x + y + 2z &= -\alpha \end{aligned}

be inconsistent. Then α\alpha is equal to: